Z[(1+21^(1/2))/2]上正定幺模格的分类(英文)

The Classification of Positive Definite Unimodular Lattices Over Z[(1+21^(1/2))/2]

本文综合利用邻格方法及Siegelmass公式对Z[(1+ 2 1) /2 ]上秩 4的正定幺模格实现了分类 ,得到了gen(I4 )的类数为 9,偶模格的类数为 3。

In this paper, the author applies adjacent lattice method and Siegel mass formula to determine the classes of positive definite unimodular lattices of rank 4 over Z , and obtains that the class number of unit genus gen( I 4 ) is nine and the class number of even unimodular lattices is three, and also gives the representative lattices of each class.